Finding the Fourth Proportional to 7,442,736,953,201, 11,164,126,374,138 and 2,854,672,235,924.60
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Solution
The fourth proportional to 7,442,736,953,201, 11,164,126,374,138 and 2,854,672,235,924.60 is: 4,282,016,387,116.65
Step by Step Solution
- Step 1: Write the proportion equation
7,442,736,953,201 : 11,164,126,374,138 = 2,854,672,235,924.60 : x - Step 2: Convert to fraction form
7,442,736,953,201/11,164,126,374,138 = 2,854,672,235,924.60/x - Step 3: Cross multiply
7,442,736,953,201x = 11,164,126,374,138 × 2,854,672,235,924.60 - Step 4: Simplify right side
7,442,736,953,201x = 31,869,921,598,605,322,715,398,144 - Step 5: Solve for x
x = 31,869,921,598,605,322,715,398,144/7,442,736,953,201 - Step 6: Final answer
x = 4,282,016,387,116.65
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.